Search a number
-
+
8068876128 = 253323833919
BaseRepresentation
bin1111000001111000…
…10100011101100000
3202211100000101012000
413200330110131200
5113011113014003
63412400004000
7403645213125
oct74074243540
922740011160
108068876128
113470741075
121692300600
139b78aa221
145678b674c
153235a31a3
hex1e0f14760

8068876128 has 96 divisors (see below), whose sum is σ = 23550105600. Its totient is φ = 2687810688.

The previous prime is 8068876111. The next prime is 8068876133. The reversal of 8068876128 is 8216788608.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2056953 + ... + 2060871.

It is an arithmetic number, because the mean of its divisors is an integer number (245313600).

Almost surely, 28068876128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8068876128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11775052800).

8068876128 is an abundant number, since it is smaller than the sum of its proper divisors (15481229472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8068876128 is a wasteful number, since it uses less digits than its factorization.

8068876128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6321 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 8068876128 is about 89826.9231800800. The cubic root of 8068876128 is about 2005.7232837224.

It can be divided in two parts, 80688 and 76128, that added together give a square (156816 = 3962).

The spelling of 8068876128 in words is "eight billion, sixty-eight million, eight hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2383 3919 4766 7149 7838 9532 11757 14298 15676 19064 21447 23514 28596 31352 35271 38128 42894 47028 57192 62704 64341 70542 76256 85788 94056 105813 114384 125408 128682 141084 171576 188112 211626 228768 257364 282168 343152 376224 423252 514728 564336 686304 846504 1029456 1128672 1693008 2058912 3386016 9338977 18677954 28016931 37355908 56033862 74711816 84050793 112067724 149423632 168101586 224135448 252152379 298847264 336203172 448270896 504304758 672406344 896541792 1008609516 1344812688 2017219032 2689625376 4034438064 8068876128